A public library has an average attendance of 410 on Sundays and 230 for the remaining days. The average attendance per day of a month of 30 days beginning with Sunday would be:  

Given:

Average attendance on Sundays = 410

Average attendance on remaining days = 230

Total days in the month = 30

Month starts with Sunday

Concept:

To find the average attendance per day over the month, we need to calculate the total attendance for the month and then divide it by the number of days in the month.

Formula Used:

Total attendance for the month = (Number of Sundays × Average attendance on Sundays) + (Number of other days × Average attendance on other days)

Average attendance per day = Total attendance for the month / Total number of days in the month

Calculation:

We have,

⇒ Number of Sundays in 30 days = 5

⇒ Number of other days in 30 days = 30 - 5 = 25

Using the formula,

⇒ Total attendance for the month = (5 × 410) + (25 × 230)

⇒ Total attendance for the month = 2050 + 5750

⇒ Total attendance for the month = 7800

Now,

⇒ Average attendance per day = 7800 / 30

⇒ Average attendance per day = 260

∴ The average attendance per day of a month of 30 days beginning with Sunday is 260.